126618547225 has 9 divisors (see below), whose sum is σ = 157009204767. Its totient is φ = 101293414440.

The previous prime is 126618547219. The next prime is 126618547243. The reversal of 126618547225 is 522745816621.

The square root of 126618547225 is 355835.

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

It can be written as a sum of positive squares in only one way, i.e., 45582677001 + 81035870224 = 213501^2 + 284668^2 .

It is not a de Polignac number, because 126618547225 - 2⁹ = 126618546713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1743592 + ... + 1814758.

Almost surely, 2^126618547225 is an apocalyptic number.

126618547225 is the 355835-th square number.

126618547225 is the 177918-th centered octagonal number.

It is an amenable number.

126618547225 is a deficient number, since it is larger than the sum of its proper divisors (30390657542).

126618547225 is an frugal number, since it uses more digits than its factorization.

126618547225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142344 (or 71172 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 49.

Multiplying 126618547225 by its sum of digits (49), we get a square (6204308814025 = 2490845²).

The spelling of 126618547225 in words is "one hundred twenty-six billion, six hundred eighteen million, five hundred forty-seven thousand, two hundred twenty-five".