1265001600 has 96 divisors (see below), whose sum is σ = 4166630640. Its totient is φ = 337331200.

The previous prime is 1265001599. The next prime is 1265001601. The reversal of 1265001600 is 61005621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1265001599) and next prime (1265001601).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1265001601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56286 + ... + 75485.

Almost surely, 2^1265001600 is an apocalyptic number.

1265001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1265001600 is an abundant number, since it is smaller than the sum of its proper divisors (2901629040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1265001600 is a wasteful number, since it uses less digits than its factorization.

1265001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131798 (or 131781 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1265001600 is about 35566.8609804127. The cubic root of 1265001600 is about 1081.5095488825.

The spelling of 1265001600 in words is "one billion, two hundred sixty-five million, one thousand, six hundred".