259490247907401 has 45 divisors (see below), whose sum is σ = 437267093482349. Its totient is φ = 148278788530488.

The previous prime is 259490247907357. The next prime is 259490247907441. The reversal of 259490247907401 is 104709742094952.

The square root of 259490247907401 is 16108701.

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

259490247907401 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 90 + 2 + 479 + 0 + 74 + 0 + 1 = 666.

It is not a de Polignac number, because 259490247907401 - 2³¹ = 259488100423753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259490247907441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2367924256 + ... + 2368033838.

Almost surely, 2^{259490247907401} is an apocalyptic number.

259490247907401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

259490247907401 is the 16108701-st square number.

259490247907401 is the 8054351-st centered octagonal number.

It is an amenable number.

259490247907401 is a deficient number, since it is larger than the sum of its proper divisors (177776845574948).

259490247907401 is an frugal number, since it uses more digits than its factorization.

259490247907401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219200 (or 109593 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 259490247907401 in words is "two hundred fifty-nine trillion, four hundred ninety billion, two hundred forty-seven million, nine hundred seven thousand, four hundred one".