1265953248 has 72 divisors (see below), whose sum is σ = 4114354608. Its totient is φ = 361700352.

The previous prime is 1265953243. The next prime is 1265953253. The reversal of 1265953248 is 8423595621.

1265953248 is a `hidden beast` number, since 1 + 26 + 59 + 532 + 48 = 666.

1265953248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1265953243) and next prime (1265953253).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1265953248² = 3205275252243499008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265953243) 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, 311961 + ... + 315992.

It is an arithmetic number, because the mean of its divisors is an integer number (57143814).

Almost surely, 2^1265953248 is an apocalyptic number.

1265953248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1265953248 is an abundant number, since it is smaller than the sum of its proper divisors (2848401360).

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

1265953248 is a wasteful number, since it uses less digits than its factorization.

1265953248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627976 (or 627965 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1265953248 is about 35580.2367614382. The cubic root of 1265953248 is about 1081.7806838274.

The spelling of 1265953248 in words is "one billion, two hundred sixty-five million, nine hundred fifty-three thousand, two hundred forty-eight".