247153151025 has 243 divisors, whose sum is σ = 512568791371. Its totient is φ = 113746776000.

The previous prime is 247153150973. The next prime is 247153151093. The reversal of 247153151025 is 520151351742.

The square root of 247153151025 is 497145.

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

247153151025 is a `hidden beast` number, since 2 + 4 + 71 + 53 + 1 + 510 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88975134369 + 158178016656 = 298287^2 + 397716^2 .

It is not a de Polignac number, because 247153151025 - 2⁹ = 247153150513 is a prime.

It is a super-2 number, since 2×247153151025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1886665210 + ... + 1886665340.

Almost surely, 2^247153151025 is an apocalyptic number.

247153151025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

247153151025 is the 497145-th square number.

247153151025 is the 248573-rd centered octagonal number.

It is an amenable number.

247153151025 is an abundant number, since it is smaller than the sum of its proper divisors (265415640346).

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

247153151025 is a wasteful number, since it uses less digits than its factorization.

247153151025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 247153151025 by its sum of digits (36), we get a square (8897513436900 = 2982870²).

The spelling of 247153151025 in words is "two hundred forty-seven billion, one hundred fifty-three million, one hundred fifty-one thousand, twenty-five".