151630039854225 has 27 divisors (see below), whose sum is σ = 271586579992689. Its totient is φ = 80869256078400.

The previous prime is 151630039854211. The next prime is 151630039854367. The reversal of 151630039854225 is 522458930036151.

The square root of 151630039854225 is 12313815.

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

151630039854225 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 3 + 0 + 0 + 3 + 98 + 542 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25674580206081 + 125955459648144 = 5067009^2 + 11222988^2 .

It is not a de Polignac number, because 151630039854225 - 2¹¹ = 151630039852177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184296765 + ... + 185117685.

Almost surely, 2^{151630039854225} is an apocalyptic number.

151630039854225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151630039854225 is the 12313815-th square number.

151630039854225 is the 6156908-th centered octagonal number.

It is an amenable number.

151630039854225 is a deficient number, since it is larger than the sum of its proper divisors (119956540138464).

151630039854225 is an frugal number, since it uses more digits than its factorization.

151630039854225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641858 (or 820929 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 151630039854225 in words is "one hundred fifty-one trillion, six hundred thirty billion, thirty-nine million, eight hundred fifty-four thousand, two hundred twenty-five".