4126362509025 has 189 divisors, whose sum is σ = 7884682898313. Its totient is φ = 2141200137600.

The previous prime is 4126362508999. The next prime is 4126362509051. The reversal of 4126362509025 is 5209052636214.

The square root of 4126362509025 is 2031345.

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

4126362509025 is a `hidden beast` number, since 4 + 1 + 2 + 63 + 62 + 509 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (4126362508999) and next prime (4126362509051).

It can be written as a sum of positive squares in 4 ways, for example, as 1736852502609 + 2389510006416 = 1317897^2 + 1545804^2 .

It is not a de Polignac number, because 4126362509025 - 2²³ = 4126354120417 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 11243494392 + ... + 11243494758.

Almost surely, 2^{4126362509025} is an apocalyptic number.

4126362509025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4126362509025 is the 2031345-th square number.

4126362509025 is the 1015673-rd centered octagonal number.

It is an amenable number.

4126362509025 is a deficient number, since it is larger than the sum of its proper divisors (3758320389288).

4126362509025 is an frugal number, since it uses more digits than its factorization.

4126362509025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4126362509025 in words is "four trillion, one hundred twenty-six billion, three hundred sixty-two million, five hundred nine thousand, twenty-five".