1251522090 has 160 divisors (see below), whose sum is σ = 4142033280. Its totient is φ = 264041856.

The previous prime is 1251522079. The next prime is 1251522091. The reversal of 1251522090 is 902251521.

1251522090 is a `hidden beast` number, since 1 + 2 + 51 + 522 + 0 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1251522091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65221 + ... + 82199.

It is an arithmetic number, because the mean of its divisors is an integer number (25887708).

Almost surely, 2^1251522090 is an apocalyptic number.

1251522090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251522090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071016640).

1251522090 is an abundant number, since it is smaller than the sum of its proper divisors (2890511190).

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

1251522090 is a wasteful number, since it uses less digits than its factorization.

1251522090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1251522090 is about 35376.8581137444. The cubic root of 1251522090 is about 1077.6544001336.

The spelling of 1251522090 in words is "one billion, two hundred fifty-one million, five hundred twenty-two thousand, ninety".