264121400925 has 144 divisors (see below), whose sum is σ = 488560730112. Its totient is φ = 136330089600.

The previous prime is 264121400909. The next prime is 264121400929. The reversal of 264121400925 is 529004121462.

It is a happy number.

264121400925 is a `hidden beast` number, since 2 + 641 + 2 + 1 + 4 + 0 + 0 + 9 + 2 + 5 = 666.

It is not a de Polignac number, because 264121400925 - 2⁴ = 264121400909 is a prime.

It is a super-2 number, since 2×264121400925² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264121400925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264121400929) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 612810460 + ... + 612810890.

It is an arithmetic number, because the mean of its divisors is an integer number (3392782848).

Almost surely, 2^264121400925 is an apocalyptic number.

264121400925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264121400925 is a deficient number, since it is larger than the sum of its proper divisors (224439329187).

264121400925 is a wasteful number, since it uses less digits than its factorization.

264121400925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 264121400925 in words is "two hundred sixty-four billion, one hundred twenty-one million, four hundred thousand, nine hundred twenty-five".