126526047025 has 27 divisors (see below), whose sum is σ = 182525327211. Its totient is φ = 86752181040.

The previous prime is 126526047023. The next prime is 126526047061. The reversal of 126526047025 is 520740625621.

The square root of 126526047025 is 355705.

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., 45549376929 + 80976670096 = 213423^2 + 284564^2 .

It is not a de Polignac number, because 126526047025 - 2¹ = 126526047023 is a prime.

It is a super-2 number, since 2×126526047025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126526047023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12444594 + ... + 12454756.

Almost surely, 2^126526047025 is an apocalyptic number.

126526047025 is the 355705-th square number.

126526047025 is the 177853-rd centered octagonal number.

It is an amenable number.

126526047025 is a deficient number, since it is larger than the sum of its proper divisors (55999280186).

126526047025 is an frugal number, since it uses more digits than its factorization.

126526047025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 126526047025 in words is "one hundred twenty-six billion, five hundred twenty-six million, forty-seven thousand, twenty-five".