1275257952 has 96 divisors (see below), whose sum is σ = 3727956960. Its totient is φ = 424120320.

The previous prime is 1275257939. The next prime is 1275257989. The reversal of 1275257952 is 2597525721.

1275257952 is a `hidden beast` number, since 1 + 2 + 7 + 525 + 79 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1275257898 and 1275257907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448728 + ... + 451560.

It is an arithmetic number, because the mean of its divisors is an integer number (38832885).

Almost surely, 2^1275257952 is an apocalyptic number.

1275257952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275257952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863978480).

1275257952 is an abundant number, since it is smaller than the sum of its proper divisors (2452699008).

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

1275257952 is a wasteful number, since it uses less digits than its factorization.

1275257952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3359 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 1275257952 is about 35710.7540105218. The cubic root of 1275257952 is about 1084.4245646544.

Subtracting 1275257952 from its reverse (2597525721), we obtain a square (1322267769 = 36363²).

The spelling of 1275257952 in words is "one billion, two hundred seventy-five million, two hundred fifty-seven thousand, nine hundred fifty-two".