1035157536 has 240 divisors, whose sum is σ = 3529260000. Its totient is φ = 295166592.

The previous prime is 1035157531. The next prime is 1035157567. The reversal of 1035157536 is 6357515301.

1035157536 is a `hidden beast` number, since 1 + 0 + 3 + 51 + 575 + 36 = 666.

It is a super-2 number, since 2×1035157536² = 2143102248675182592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1035157536.

It is not an unprimeable number, because it can be changed into a prime (1035157531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2074215 + ... + 2074713.

It is an arithmetic number, because the mean of its divisors is an integer number (14705250).

Almost surely, 2^1035157536 is an apocalyptic number.

1035157536 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 1035157536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764630000).

1035157536 is an abundant number, since it is smaller than the sum of its proper divisors (2494102464).

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

1035157536 is an frugal number, since it uses more digits than its factorization.

1035157536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 1035157536 is about 32173.8641757561. The cubic root of 1035157536 is about 1011.5844607259.

The spelling of 1035157536 in words is "one billion, thirty-five million, one hundred fifty-seven thousand, five hundred thirty-six".