1252777890 has 256 divisors, whose sum is σ = 3883106304. Its totient is φ = 251596800.

The previous prime is 1252777879. The next prime is 1252777913. The reversal of 1252777890 is 987772521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9563125 + ... + 9563255.

It is an arithmetic number, because the mean of its divisors is an integer number (15168384).

Almost surely, 2^1252777890 is an apocalyptic number.

1252777890 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 1252777890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941553152).

1252777890 is an abundant number, since it is smaller than the sum of its proper divisors (2630328414).

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

1252777890 is a wasteful number, since it uses less digits than its factorization.

1252777890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 493920, while the sum is 48.

The square root of 1252777890 is about 35394.6025546269. The cubic root of 1252777890 is about 1078.0147256420.

The spelling of 1252777890 in words is "one billion, two hundred fifty-two million, seven hundred seventy-seven thousand, eight hundred ninety".