1300531077090 has 1024 divisors, whose sum is σ = 4407577804800. Its totient is φ = 266499072000.

The previous prime is 1300531076983. The next prime is 1300531077091. The reversal of 1300531077090 is 907701350031.

1300531077090 is a `hidden beast` number, since 1 + 30 + 0 + 531 + 0 + 7 + 7 + 0 + 90 = 666.

It is not an unprimeable number, because it can be changed into a prime (1300531077091) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8612788515 + ... + 8612788665.

It is an arithmetic number, because the mean of its divisors is an integer number (4304275200).

Almost surely, 2^{1300531077090} is an apocalyptic number.

1300531077090 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 1300531077090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203788902400).

1300531077090 is an abundant number, since it is smaller than the sum of its proper divisors (3107046727710).

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

1300531077090 is a wasteful number, since it uses less digits than its factorization.

1300531077090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The spelling of 1300531077090 in words is "one trillion, three hundred billion, five hundred thirty-one million, seventy-seven thousand, ninety".