1257652000 has 192 divisors, whose sum is σ = 3416370048. Its totient is φ = 451200000.

The previous prime is 1257651977. The next prime is 1257652021. The reversal of 1257652000 is 2567521.

It is a self number, because there is not a number n which added to its sum of digits gives 1257652000.

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, 4443859 + ... + 4444141.

It is an arithmetic number, because the mean of its divisors is an integer number (17793594).

Almost surely, 2^1257652000 is an apocalyptic number.

1257652000 is a gapful number since it is divisible by the number (10) 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 1257652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708185024).

1257652000 is an abundant number, since it is smaller than the sum of its proper divisors (2158718048).

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

1257652000 is a wasteful number, since it uses less digits than its factorization.

1257652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1257652000 is about 35463.3895729103. The cubic root of 1257652000 is about 1079.4109728157.

It can be divided in two parts, 125765 and 2000, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 1257652000 in words is "one billion, two hundred fifty-seven million, six hundred fifty-two thousand".