1256613552 has 60 divisors (see below), whose sum is σ = 3540435600. Its totient is φ = 416052864.

The previous prime is 1256613539. The next prime is 1256613557. The reversal of 1256613552 is 2553166521.

1256613552 is a `hidden beast` number, since 12 + 566 + 1 + 35 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1256613557) 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, 7828 + ... + 50739.

It is an arithmetic number, because the mean of its divisors is an integer number (59007260).

Almost surely, 2^1256613552 is an apocalyptic number.

1256613552 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 1256613552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770217800).

1256613552 is an abundant number, since it is smaller than the sum of its proper divisors (2283822048).

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

1256613552 is a wasteful number, since it uses less digits than its factorization.

1256613552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58730 (or 58721 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1256613552 is about 35448.7454220879. The cubic root of 1256613552 is about 1079.1137997712.

The spelling of 1256613552 in words is "one billion, two hundred fifty-six million, six hundred thirteen thousand, five hundred fifty-two".