1259825952 has 192 divisors, whose sum is σ = 4157733888. Its totient is φ = 324480000.

The previous prime is 1259825947. The next prime is 1259825971. The reversal of 1259825952 is 2595289521.

It is a super-2 number, since 2×1259825952² = 3174322858665412608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967702 + ... + 969002.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^1259825952 is an apocalyptic number.

1259825952 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 1259825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078866944).

1259825952 is an abundant number, since it is smaller than the sum of its proper divisors (2897907936).

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

1259825952 is a wasteful number, since it uses less digits than its factorization.

1259825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its digits is 648000, while the sum is 48.

The square root of 1259825952 is about 35494.0269904670. The cubic root of 1259825952 is about 1080.0325641759.

The spelling of 1259825952 in words is "one billion, two hundred fifty-nine million, eight hundred twenty-five thousand, nine hundred fifty-two".