12958407225 has 27 divisors (see below), whose sum is σ = 23213005933. Its totient is φ = 6910239840.

The previous prime is 12958407191. The next prime is 12958407277. The reversal of 12958407225 is 52270485921.

The square root of 12958407225 is 113835.

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

12958407225 is a `hidden beast` number, since 12 + 9 + 5 + 8 + 407 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6844418361 + 6113988864 = 82731^2 + 78192^2 .

It is not a de Polignac number, because 12958407225 - 2¹⁹ = 12957882937 is a prime.

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

It is a Duffinian number.

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, 1703731 + ... + 1711319.

Almost surely, 2^12958407225 is an apocalyptic number.

12958407225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12958407225 is the 113835-th square number.

12958407225 is the 56918-th centered octagonal number.

It is an amenable number.

12958407225 is a deficient number, since it is larger than the sum of its proper divisors (10254598708).

12958407225 is an frugal number, since it uses more digits than its factorization.

12958407225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12958407225 in words is "twelve billion, nine hundred fifty-eight million, four hundred seven thousand, two hundred twenty-five".