764514153225 has 81 divisors (see below), whose sum is σ = 1390581531157. Its totient is φ = 401508408000.

The previous prime is 764514153211. The next prime is 764514153253. The reversal of 764514153225 is 522351415467.

The square root of 764514153225 is 874365.

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

764514153225 is a `hidden beast` number, since 7 + 6 + 4 + 5 + 1 + 415 + 3 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103857308361 + 660656844864 = 322269^2 + 812808^2 .

It is not a de Polignac number, because 764514153225 - 2¹⁵ = 764514120457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (1008000) is a multiple of the sum of its prime divisors (900).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 931198315 + ... + 931199135.

Almost surely, 2^764514153225 is an apocalyptic number.

764514153225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

764514153225 is the 874365-th square number.

764514153225 is the 437183-rd centered octagonal number.

It is an amenable number.

764514153225 is a deficient number, since it is larger than the sum of its proper divisors (626067377932).

764514153225 is an frugal number, since it uses more digits than its factorization.

764514153225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 900 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 764514153225 in words is "seven hundred sixty-four billion, five hundred fourteen million, one hundred fifty-three thousand, two hundred twenty-five".