1256352552 has 384 divisors, whose sum is σ = 4573497600. Its totient is φ = 316141056.

The previous prime is 1256352541. The next prime is 1256352553. The reversal of 1256352552 is 2552536521.

1256352552 is a `hidden beast` number, since 1 + 2 + 56 + 3 + 52 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256352553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3164418 + ... + 3164814.

It is an arithmetic number, because the mean of its divisors is an integer number (11910150).

Almost surely, 2^1256352552 is an apocalyptic number.

1256352552 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 1256352552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286748800).

1256352552 is an abundant number, since it is smaller than the sum of its proper divisors (3317145048).

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

1256352552 is a wasteful number, since it uses less digits than its factorization.

1256352552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 1256352552 is about 35445.0638594431. The cubic root of 1256352552 is about 1079.0390835618.

The spelling of 1256352552 in words is "one billion, two hundred fifty-six million, three hundred fifty-two thousand, five hundred fifty-two".