257552020 has 96 divisors (see below), whose sum is σ = 608259456. Its totient is φ = 90816000.

The previous prime is 257552017. The next prime is 257552021. The reversal of 257552020 is 20255752.

It is a self number, because there is not a number n which added to its sum of digits gives 257552020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257552021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488654 + ... + 1488826.

It is an arithmetic number, because the mean of its divisors is an integer number (6336036).

Almost surely, 2^257552020 is an apocalyptic number.

257552020 is a gapful number since it is divisible by the number (20) 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 257552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304129728).

257552020 is an abundant number, since it is smaller than the sum of its proper divisors (350707436).

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

257552020 is a wasteful number, since it uses less digits than its factorization.

257552020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 257552020 is about 16048.4273372814. The cubic root of 257552020 is about 636.2410021076.

It can be divided in two parts, 25755 and 2020, that multiplied together give a triangular number (52025100 = T₁₀₂₀₀).

The spelling of 257552020 in words is "two hundred fifty-seven million, five hundred fifty-two thousand, twenty".