249751062001 has 63 divisors (see below), whose sum is σ = 307620525657. Its totient is φ = 202758975720.

The previous prime is 249751061999. The next prime is 249751062013. The reversal of 249751062001 is 100260157942.

The square root of 249751062001 is 499751.

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

249751062001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 249751062001 - 2¹ = 249751061999 is a prime.

It is a super-2 number, since 2×249751062001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249751042001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5313852360 + ... + 5313852406.

Almost surely, 2^249751062001 is an apocalyptic number.

249751062001 is the 499751-st square number.

249751062001 is the 249876-th centered octagonal number.

It is an amenable number.

249751062001 is a deficient number, since it is larger than the sum of its proper divisors (57869463656).

249751062001 is an frugal number, since it uses more digits than its factorization.

249751062001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 249751062001 in words is "two hundred forty-nine billion, seven hundred fifty-one million, sixty-two thousand, one".