1090251331572 has 96 divisors (see below), whose sum is σ = 2814758803584. Its totient is φ = 326308147200.

The previous prime is 1090251331487. The next prime is 1090251331577. The reversal of 1090251331572 is 2751331520901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1090251331572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090251331577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902547 + ... + 2408357.

It is an arithmetic number, because the mean of its divisors is an integer number (29320404204).

Almost surely, 2^{1090251331572} is an apocalyptic number.

1090251331572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090251331572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407379401792).

1090251331572 is an abundant number, since it is smaller than the sum of its proper divisors (1724507472012).

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

1090251331572 is a wasteful number, since it uses less digits than its factorization.

1090251331572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506209 (or 506207 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 1090251331572 in words is "one trillion, ninety billion, two hundred fifty-one million, three hundred thirty-one thousand, five hundred seventy-two".