10252512 has 72 divisors (see below), whose sum is σ = 29536416. Its totient is φ = 3373056.

The previous prime is 10252507. The next prime is 10252519. The reversal of 10252512 is 21525201.

10252512 is a `hidden beast` number, since 102 + 52 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10252512² = 210228004620288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252519) 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, 27753 + ... + 28119.

It is an arithmetic number, because the mean of its divisors is an integer number (410228).

Almost surely, 2^10252512 is an apocalyptic number.

10252512 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 10252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768208).

10252512 is an abundant number, since it is smaller than the sum of its proper divisors (19283904).

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

10252512 is a wasteful number, since it uses less digits than its factorization.

10252512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10252512 is about 3201.9544031732. The cubic root of 10252512 is about 217.2418181032.

Adding to 10252512 its reverse (21525201), we get a palindrome (31777713).

It can be divided in two parts, 1025251 and 2, that multiplied together give a palindrome (2050502).

The spelling of 10252512 in words is "ten million, two hundred fifty-two thousand, five hundred twelve".