1153753536 has 252 divisors, whose sum is σ = 3507903576. Its totient is φ = 334264320.

The previous prime is 1153753493. The next prime is 1153753553. The reversal of 1153753536 is 6353573511.

It is a super-2 number, since 2×1153753536² = 2662294443665006592, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1153753494 and 1153753503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31182510 + ... + 31182546.

Almost surely, 2^1153753536 is an apocalyptic number.

1153753536 is a gapful number since it is divisible by the number (16) 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 1153753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753951788).

1153753536 is an abundant number, since it is smaller than the sum of its proper divisors (2354150040).

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

1153753536 is a wasteful number, since it uses less digits than its factorization.

1153753536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its digits is 141750, while the sum is 39.

The square root of 1153753536 is about 33966.9476991972. The cubic root of 1153753536 is about 1048.8281820601.

The spelling of 1153753536 in words is "one billion, one hundred fifty-three million, seven hundred fifty-three thousand, five hundred thirty-six".