276413062500 has 189 divisors, whose sum is σ = 874624996063. Its totient is φ = 73605000000.

The previous prime is 276413062459. The next prime is 276413062517. The reversal of 276413062500 is 5260314672.

The square root of 276413062500 is 525750.

It is a perfect power (a square), and thus also a powerful number.

276413062500 is a `hidden beast` number, since 2 + 7 + 64 + 1 + 30 + 62 + 500 = 666.

276413062500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 276299512164 + 113550336 = 525642^2 + 10656^2 .

It is a super-2 number, since 2×276413062500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 394312150 + ... + 394312850.

Almost surely, 2^276413062500 is an apocalyptic number.

276413062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

276413062500 is the 525750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276413062500

276413062500 is an abundant number, since it is smaller than the sum of its proper divisors (598211933563).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

276413062500 is an frugal number, since it uses more digits than its factorization.

276413062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 276413062500 by its sum of digits (36), we get a square (9950870250000 = 3154500²).

276413062500 divided by its sum of digits (36) gives a square (7678140625 = 87625²).

The spelling of 276413062500 in words is "two hundred seventy-six billion, four hundred thirteen million, sixty-two thousand, five hundred".