10252506244000 has 96 divisors (see below), whose sum is σ = 25374280787856. Its totient is φ = 4071067955200.

The previous prime is 10252506243971. The next prime is 10252506244003. The reversal of 10252506244000 is 44260525201.

It can be written as a sum of positive squares in 8 ways, for example, as 1807228526224 + 8445277717776 = 1344332^2 + 2906076^2 .

It is a super-2 number, since 2×10252506244000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10252506244003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8806477 + ... + 9902476.

Almost surely, 2^{10252506244000} is an apocalyptic number.

10252506244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10252506244000 is an abundant number, since it is smaller than the sum of its proper divisors (15121774543856).

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

10252506244000 is a wasteful number, since it uses less digits than its factorization.

10252506244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18709115 (or 18709097 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 10252506244000 its reverse (44260525201), we get a palindrome (10296766769201).

The spelling of 10252506244000 in words is "ten trillion, two hundred fifty-two billion, five hundred six million, two hundred forty-four thousand".