5141965000 has 40 divisors (see below), whose sum is σ = 12047635710. Its totient is φ = 2056784000.

The previous prime is 5141964977. The next prime is 5141965001. The reversal of 5141965000 is 5691415.

It can be written as a sum of positive squares in 5 ways, for example, as 239444676 + 4902520324 = 15474^2 + 70018^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5141965000² = 52879608122450000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5141965001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 509197 + ... + 519196.

Almost surely, 2^5141965000 is an apocalyptic number.

5141965000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5141965000 is an abundant number, since it is smaller than the sum of its proper divisors (6905670710).

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

5141965000 is a wasteful number, since it uses less digits than its factorization.

5141965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028419 (or 1028400 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 5141965000 is about 71707.4961213958. The cubic root of 5141965000 is about 1726.0089315822.

The spelling of 5141965000 in words is "five billion, one hundred forty-one million, nine hundred sixty-five thousand".