213678760516 has 81 divisors (see below), whose sum is σ = 423833657079. Its totient is φ = 94211063232.

The previous prime is 213678760489. The next prime is 213678760571. The reversal of 213678760516 is 615067876312.

It is a happy number.

The square root of 213678760516 is 462254.

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

It can be written as a sum of positive squares in 4 ways, for example, as 135457858116 + 78220902400 = 368046^2 + 279680^2 .

It is a super-2 number, since 2×213678760516² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276427506 + ... + 276428278.

Almost surely, 2^213678760516 is an apocalyptic number.

213678760516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

213678760516 is the 462254-th square number.

It is an amenable number.

213678760516 is a deficient number, since it is larger than the sum of its proper divisors (210154896563).

213678760516 is an equidigital number, since it uses as much as digits as its factorization.

213678760516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 213678760516 in words is "two hundred thirteen billion, six hundred seventy-eight million, seven hundred sixty thousand, five hundred sixteen".