264962404125 has 256 divisors, whose sum is σ = 523168588800. Its totient is φ = 132088320000.

The previous prime is 264962404103. The next prime is 264962404127. The reversal of 264962404125 is 521404269462.

It is a happy number.

264962404125 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 624 + 0 + 4 + 12 + 5 = 666.

It is not a de Polignac number, because 264962404125 - 2⁹ = 264962403613 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264962404127) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 660753925 + ... + 660754325.

It is an arithmetic number, because the mean of its divisors is an integer number (2043627300).

Almost surely, 2^264962404125 is an apocalyptic number.

264962404125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264962404125 is a deficient number, since it is larger than the sum of its proper divisors (258206184675).

264962404125 is a wasteful number, since it uses less digits than its factorization.

264962404125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 264962404125 in words is "two hundred sixty-four billion, nine hundred sixty-two million, four hundred four thousand, one hundred twenty-five".