42248747025 has 81 divisors (see below), whose sum is σ = 77152761777. Its totient is φ = 22100198400.

The previous prime is 42248746993. The next prime is 42248747033. The reversal of 42248747025 is 52074784224.

The square root of 42248747025 is 205545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6794869761 + 35453877264 = 82431^2 + 188292^2 .

It is not a de Polignac number, because 42248747025 - 2⁵ = 42248746993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 218905329 + ... + 218905521.

Almost surely, 2^42248747025 is an apocalyptic number.

42248747025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42248747025 is the 205545-th square number.

42248747025 is the 102773-rd centered octagonal number.

It is an amenable number.

42248747025 is a deficient number, since it is larger than the sum of its proper divisors (34904014752).

42248747025 is an equidigital number, since it uses as much as digits as its factorization.

42248747025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 42248747025 in words is "forty-two billion, two hundred forty-eight million, seven hundred forty-seven thousand, twenty-five".