1213953510 has 256 divisors, whose sum is σ = 4050984960. Its totient is φ = 224778240.

The previous prime is 1213953509. The next prime is 1213953569. The reversal of 1213953510 is 153593121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 745317 + ... + 746943.

It is an arithmetic number, because the mean of its divisors is an integer number (15824160).

Almost surely, 2^1213953510 is an apocalyptic number.

1213953510 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 1213953510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025492480).

1213953510 is an abundant number, since it is smaller than the sum of its proper divisors (2837031450).

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

1213953510 is a wasteful number, since it uses less digits than its factorization.

1213953510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 1213953510 is about 34841.8356290251. The cubic root of 1213953510 is about 1066.7615450544.

The spelling of 1213953510 in words is "one billion, two hundred thirteen million, nine hundred fifty-three thousand, five hundred ten".