251261602098 has 192 divisors, whose sum is σ = 569304391680. Its totient is φ = 73838628864.

The previous prime is 251261602091. The next prime is 251261602099. The reversal of 251261602098 is 890206162152.

It is not an unprimeable number, because it can be changed into a prime (251261602091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542681415 + ... + 542681877.

It is an arithmetic number, because the mean of its divisors is an integer number (2965127040).

Almost surely, 2^251261602098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251261602098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284652195840).

251261602098 is an abundant number, since it is smaller than the sum of its proper divisors (318042789582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251261602098 is a wasteful number, since it uses less digits than its factorization.

251261602098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 251261602098 in words is "two hundred fifty-one billion, two hundred sixty-one million, six hundred two thousand, ninety-eight".