1264109625 has 128 divisors (see below), whose sum is σ = 2458460160. Its totient is φ = 640224000.

The previous prime is 1264109621. The next prime is 1264109641. The reversal of 1264109625 is 5269014621.

1264109625 is a `hidden beast` number, since 1 + 2 + 641 + 0 + 9 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 1264109625 - 2² = 1264109621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1264109625.

It is not an unprimeable number, because it can be changed into a prime (1264109621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6618280 + ... + 6618470.

It is an arithmetic number, because the mean of its divisors is an integer number (19206720).

Almost surely, 2^1264109625 is an apocalyptic number.

1264109625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1264109625 is a deficient number, since it is larger than the sum of its proper divisors (1194350535).

1264109625 is a wasteful number, since it uses less digits than its factorization.

1264109625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1264109625 is about 35554.3193578502. The cubic root of 1264109625 is about 1081.2552919429.

It can be divided in two parts, 1264 and 109625, that added together give a square (110889 = 333²).

The spelling of 1264109625 in words is "one billion, two hundred sixty-four million, one hundred nine thousand, six hundred twenty-five".