249301488601 has 27 divisors (see below), whose sum is σ = 289328185503. Its totient is φ = 214619541840.

The previous prime is 249301488533. The next prime is 249301488607. The reversal of 249301488601 is 106884103942.

The square root of 249301488601 is 499301.

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., 56668278601 + 192633210000 = 238051^2 + 438900^2 .

It is not a de Polignac number, because 249301488601 - 2³¹ = 247154004953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249301488607) 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, 104352715 + ... + 104355103.

Almost surely, 2^249301488601 is an apocalyptic number.

249301488601 is the 499301-st square number.

249301488601 is the 249651-st centered octagonal number.

It is an amenable number.

249301488601 is a deficient number, since it is larger than the sum of its proper divisors (40026696902).

249301488601 is an frugal number, since it uses more digits than its factorization.

249301488601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 249301488601 in words is "two hundred forty-nine billion, three hundred one million, four hundred eighty-eight thousand, six hundred one".